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144232565080 = 23561179330233
BaseRepresentation
bin1000011001010011101…
…1100100100101011000
3111210021211000110111211
42012110323210211120
54330342014040310
6150132020232504
713264134401122
oct2062473444530
9453254013454
10144232565080
1156194582a0a
1223b5323b734
13107a7730386
146da3800212
153b425d4c8a
hex2194ee4958

144232565080 has 64 divisors (see below), whose sum is σ = 331687029600. Its totient is φ = 56430044160.

The previous prime is 144232565051. The next prime is 144232565089. The reversal of 144232565080 is 80565232441.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144232565089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 271644 + ... + 601876.

Almost surely, 2144232565080 is an apocalyptic number.

144232565080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144232565080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165843514800).

144232565080 is an abundant number, since it is smaller than the sum of its proper divisors (187454464520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

144232565080 is a wasteful number, since it uses less digits than its factorization.

144232565080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330484 (or 330480 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 40.

The spelling of 144232565080 in words is "one hundred forty-four billion, two hundred thirty-two million, five hundred sixty-five thousand, eighty".

Divisors: 1 2 4 5 8 10 20 40 61 122 179 244 305 358 488 610 716 895 1220 1432 1790 2440 3580 7160 10919 21838 43676 54595 87352 109190 218380 330233 436760 660466 1320932 1651165 2641864 3302330 6604660 13209320 20144213 40288426 59111707 80576852 100721065 118223414 161153704 201442130 236446828 295558535 402884260 472893656 591117070 805768520 1182234140 2364468280 3605814127 7211628254 14423256508 18029070635 28846513016 36058141270 72116282540 144232565080